An Analytical Approach to Probability of Outage Evaluation in Gamma Shadowed Nakagami-m and Rice Fading Channel

In this paper a unified analytical approach to performance analyses in gamma shadowed Nakagami- m and Rice fading channel is presented. Instead of lognormal probability density function (PDF), gamma PDF is used for shadowing while multipath fading is represented with Nakagami-m and Rice distributions. A mathematical framework is developed for deriving key statistical parameters such as PDFs of signal to noise ratio(SNR) and signal to interference ratio (SIR) of several special scenarios in mobile channel as well as performance metrics including outage probability. In this way, one can conclude that presented results are reliable for lognormal shadowing spread <9 dB (note that, the shadowing spread actually observed in macro-cells has a typical value that lies between 4 and 9 dB). The final results are remarkably simple and can serve as a quick way of assessing performance. In addition, presented analytical expressions are suitable for the asymptotic analyses, which is significant feature for both theoretical and practical aspect of theirs applications.